Integral design method and device for curved surface

Abstract

The invention relates to the technical field of computer aided design and manufacturing, and in particular relates to an integral design method and an integral design device for a curved surface. The integral design method for the curved surface comprises the following steps of: 1) determining a number M of reference points to be acquired; 2) setting three-dimensional coordinate values (xi, yj, Z(xi, yj)), Zx (xi, yj), Zy (xi, yj) and Zxy (xi, yj) of the M reference points, wherein (i, j=0,1,2,...,n), and (n+1)<2>=M; 3) substituting the four types of parameters into the following formula; and 4) generating the curved surface according to the formula. A curved surface generation device generates the curved surface by using the curved surface generation method. By adopting integral design, the working procedure is simple; the curved surface can be generated only by using one formula; the calculation working amount is small; the number of occupied computer resources is small; the number of reference points is set, and the four types of parameters are substituted into the formula; the curved surface design efficiency is improved; and a designer can understand and use the curved surface conveniently.

Description

technical field [0001] The invention relates to the technical field of computer-aided design and manufacture, in particular to a method and device for integral design of curved surfaces. Background technique [0002] Surface generation is one of the most active and key subject branches in CAD and computer graphics, and an important part of CAD system. It mainly studies the representation, design, display and analysis of surfaces in the environment of computer graphics systems. Obviously, it is much easier to analyze or simulate a model of an object with a computer than to measure or manipulate an actual object. CAD / CAM, computer graphics, computer art, animation, simulation, computer vision, robotics and other fields all use the generation of curves and surfaces as the basis. It is used everywhere in the geometric representation of three-dimensional shapes, from the fluid dynamic analysis of airplanes, automobiles, ships, and impellers, to the industrial generative design o...

AI Technical Summary

Problems solved by technology

In recent years, new surface generation methods have been emerging, but the existing surface generation methods use a slice design, which requires polishing and integrating each slice into a whole piece, which requires complicated procedures; and it needs to be based on a large number of formula calculations. Basically, the calculation workload is heavy and takes up a lot of computer resources, resulting in low efficiency of surface design, and a large number of formulas are not conducive to designers' understanding and use

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